GCD of 742, 213, 60, 300 Calculator

Given Input numbers are 742, 213, 60, 300

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 742, 213, 60, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 213, 60, 300 is 1.

Therefore, GCD of numbers 742, 213, 60, 300 is 1

Given Input Data is 742, 213, 60, 300

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 213 is 3 x 71

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(742, 213) = 158046

GCD(742, 213) = ( 742 x 213 ) / 158046

GCD(742, 213) = 158046 / 158046

GCD(742, 213) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 742, 213, 60, 300 is 1

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• GCD of 405, 469, 98, 118
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1. What is the GCD of 742, 213, 60, 300?

GCD of 742, 213, 60, 300 is 1

2. Where do I get the detailed procedure to find GCD of 742, 213, 60, 300?

You can find a detailed procedure to find GCD of 742, 213, 60, 300 on our page.

3. How to find GCD of 742, 213, 60, 300 on a calculator?

You can find the GCD of 742, 213, 60, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.